2.
Regular local hyperrings and hyperdomainsHashem Bordbar,
Irina Cristea,
Sanja Rasovic, 2022, original scientific article
Abstract: This paper falls in the area of hypercompositional algebra. In particular, it focuses on the
class of Krasner hyperrings and it studies the regular local hyperrings. These are Krasner hyperrings R with a unique maximal hyperideal M having the dimension equal to the dimension of the vectorial hyperspace M. The aim of the paper is to show that any regular local hyperring is a hyperdomain. M2 For proving this, we make use of the relationship existing between the dimension of the vectorial hyperspaces related to the hyperring R and to the quotient hyperring R = R , where a is an element in M \ M2, and of the regularity of R.
Found in: ključnih besedah
Summary of found: ...ass="IskanaBeseda">a unique mass="IskanaBeseda">aximass="IskanaBeseda">al hyperideass="IskanaBeseda">al M hass="IskanaBeseda">aving the ass="IskanaBeseda">ass="Iskass="IskanaBeseda">anass="IskanaBeseda">aBesedass="IskanaBeseda">a">ass="IskanaBeseda">ass="Iskass="IskanaBeseda">anass="IskanaBeseda">aBesedass="IskanaBeseda">a">ass="IskanaBeseda">dimension equass="IskanaBeseda">al to the ass="IskanaBeseda">ass="Iskass="IskanaBeseda">anass="IskanaBeseda">aBesedass="IskanaBeseda">a">ass="IskanaBeseda">ass="Iskass="IskanaBeseda">anass="IskanaBeseda">aBesedass="IskanaBeseda">a">ass="IskanaBeseda">dimension ass="IskanaBeseda">ass="Iskass="IskanaBeseda">anass="IskanaBeseda">aBesedass="IskanaBeseda">a">ass="IskanaBeseda">of the vectoriass="IskanaBeseda">al... ...pass="IskanaBeseda">articulass="IskanaBeseda">ar, it focuses on the
class="IskanaBeseda">ass ass="IskanaBeseda">ass="Iskass="IskanaBeseda">anass="IskanaBeseda">aBesedass="IskanaBeseda">a">ass="IskanaBeseda">of Krass="IskanaBeseda">asner Keywords: hyperring, hypermodule, vectorialhyperspace, dimension, regularhyperring, regular parameter element, hyperdomain
Published: 27.09.2022; Views: 322; Downloads: 13
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